Class 6 Mathematics

Chapter 8: Decimals

STAGE 0: Foundation

Decimals are used in our daily life 😊

We see decimals in:

Money (₹12.50)
Length (2.5 cm)
Weight (1.75 kg)

Decimals help us write parts of a whole more easily.

STAGE 1: Concepts Explained

What is a Decimal?

A decimal is a way of writing fractions using a decimal point (.).

Example:

1/10 = 0.1
5/10 = 0.5

Decimal Point

The dot (.) used in decimals is called the decimal point.

Place Value in Decimals

Places to the right of the decimal point are:

Tenths (1/10)
Hundredths (1/100)
Thousandths (1/1000)

Example:

In 3.45:
3 → Ones
4 → Tenths
5 → Hundredths

Decimals in Money

₹1 = 100 paise

₹12.50 = 12 rupees and 50 paise

Like and Unlike Decimals

Decimals with the same number of decimal places are called like decimals.

Example: 2.3 and 5.6

STAGE 2: Solved Examples

Example 1:
Write 3/10 as a decimal.

Solution:
3/10 = 0.3

Example 2:
Write the place value of 6 in 2.67.

Solution:
6 is in the tenths place.

Example 3:
Convert ₹45.75 into rupees and paise.

Solution:
45 rupees and 75 paise

STAGE 3: Practice Questions

1. Write 7/10 as a decimal.
2. Write the place value of 9 in 4.98.
3. Convert ₹8.25 into rupees and paise.
4. Write two like decimals.
5. Write two unlike decimals.

STAGE 4: Quick Revision

Decimals represent parts of a whole
Decimal point separates whole and fractional part
Tenths, hundredths follow the decimal point
Decimals are used in money and measurement

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Class 6 Mathematics – Learn Without Fear

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